Question 378517
what is the x-intercept, slope, and y-intercept for this problem
y = {{{1/4}}}x - 4
:
The x intercept occurs when y = 0, replace y with 0 and solve for x
{{{1/4}}}x - 4 = 0
add 4 to both sides
{{{1/4}}}x = 4
Multiply both sides by 4, get rid of the fraction and you have
x = 4(4)
x = 16 is the x intercept
:
The equation is in the slope/intercept form y = mx + b
therefore the slope (m) = {{{1/4}}}
:
The y intercept occurs with x = 0, replace x with 0, find y
y = {{{1/4}}}(0) - 4
y = 0  - 4
y = -4 is the y intercept
;
:
Graphically
{{{ graph( 300, 200, -10, 20, -10, 10, .25x-4) }}}
You can see the line intercepts the y axis at -4
Line intercepts the x axis at +16
You can see the slope, it rises 4 units, while  it runs horizontally 16 units
written 4/16 which reduces to 1/4, right?